Liouville type theorems and gradient estimates for nonlinear heat equations along ancient \(K\)-super Ricci flow via reduced geometry
DOI10.1016/j.jmaa.2022.126836zbMath1506.53102OpenAlexW4308387060WikidataQ123356905 ScholiaQ123356905MaRDI QIDQ2102122
Nguyen Dang Tuyen, Ha Tuan Dung, Nguyen Tien Manh
Publication date: 28 November 2022
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126836
gradient Ricci solitonLiouville-type theoremreduced geometrysuper Ricci flowsHamilton-type gradient estimate
Nonlinear parabolic equations (35K55) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53) Ricci flows (53E20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The \(W\)-entropy formula for the Witten Laplacian on manifolds with time dependent metrics and potentials
- Elliptic gradient estimates for a nonlinear heat equation and applications
- The Ricci flow in Riemannian geometry. A complete proof of the differentiable 1/4-pinching sphere theorem
- Perelman's reduced volume and a gap theorem for the Ricci flow
- Gradient estimates for a simple elliptic equation on complete non-compact Riemannian manifolds
- Gradient estimates for the heat equation under the Ricci flow
- On the parabolic kernel of the Schrödinger operator
- A matrix Harnack estimate for the heat equation
- On Harnack inequalities for Witten Laplacian on Riemannian manifolds with super Ricci flows
- Super-Ricci flows for metric measure spaces
- Three-manifolds with positive Ricci curvature
- Liouville theorems for harmonic map heat flow along ancient super Ricci flow via reduced geometry
- Liouville theorem for heat equation Along ancient super Ricci flow via reduced geometry
- Gradient estimate for a nonlinear heat equation on Riemannian manifolds
- SHARP GRADIENT ESTIMATE AND YAU'S LIOUVILLE THEOREM FOR THE HEAT EQUATION ON NONCOMPACT MANIFOLDS
- Ricci flow, entropy and optimal transportation
- Monotone volume formulas for geometric flows
- Sharp gradient estimates for a heat equation in Riemannian manifolds
- On the $l$-function and the reduced volume of Perelman I
- On the $l$-function and the reduced volume of Perelman II
- Compactness theory of the space of super Ricci flows
This page was built for publication: Liouville type theorems and gradient estimates for nonlinear heat equations along ancient \(K\)-super Ricci flow via reduced geometry